131132122123113 has 8 divisors (see below), whose sum is σ = 194269810552800. Its totient is φ = 87421414748724.

The previous prime is 131132122123109. The next prime is 131132122123187. The reversal of 131132122123113 is 311321221231131.

131132122123113 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 321 + 2 + 21 + 2 + 311 + 3 = 666.

It is not a de Polignac number, because 131132122123113 - 2² = 131132122123109 is a prime.

It is a super-2 number, since 2×131132122123113² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4856745263819 = 131132122123113 / (1 + 3 + 1 + 1 + 3 + 2 + 1 + 2 + 2 + 1 + 2 + 3 + 1 + 1 + 3).

It is not an unprimeable number, because it can be changed into a prime (131132122123213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2428372631883 + ... + 2428372631936.

It is an arithmetic number, because the mean of its divisors is an integer number (24283726319100).

Almost surely, 2^{131132122123113} is an apocalyptic number.

It is an amenable number.

131132122123113 is a deficient number, since it is larger than the sum of its proper divisors (63137688429687).

131132122123113 is an equidigital number, since it uses as much as digits as its factorization.

131132122123113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856745263828 (or 4856745263822 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 131132122123113 its reverse (311321221231131), we get a palindrome (442453343354244).

The spelling of 131132122123113 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred thirteen".